{"id":"https://openalex.org/W2595297650","doi":"https://doi.org/10.1109/tcyb.2017.2668458","title":"The Designated Convergence Rate Problems of Consensus or Flocking of Double-Integrator Agents With General Nonequal Velocity and Position Couplings: Further Results and Patterns of Convergence Rate Contours","display_name":"The Designated Convergence Rate Problems of Consensus or Flocking of Double-Integrator Agents With General Nonequal Velocity and Position Couplings: Further Results and Patterns of Convergence Rate Contours","publication_year":2017,"publication_date":"2017-03-15","ids":{"openalex":"https://openalex.org/W2595297650","doi":"https://doi.org/10.1109/tcyb.2017.2668458","mag":"2595297650","pmid":"https://pubmed.ncbi.nlm.nih.gov/28320683"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2017.2668458","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2017.2668458","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100318074","display_name":"Wei Li","orcid":"https://orcid.org/0000-0001-9583-9199"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Li","raw_affiliation_strings":["Department of Control and Systems Engineering, Nanjing University, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Department of Control and Systems Engineering, Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100318074"],"corresponding_institution_ids":["https://openalex.org/I881766915"],"apc_list":null,"apc_paid":null,"fwci":1.0315,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.78954335,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"47","issue":"5","first_page":"1325","last_page":"1335"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11347","display_name":"Neural Networks Stability and Synchronization","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/flocking","display_name":"Flocking (texture)","score":0.6389074325561523},{"id":"https://openalex.org/keywords/rate-of-convergence","display_name":"Rate of convergence","score":0.6311807632446289},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5047847032546997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49090129137039185},{"id":"https://openalex.org/keywords/laplacian-matrix","display_name":"Laplacian matrix","score":0.471456378698349},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.440527081489563},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4232552647590637},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.41332727670669556},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41284847259521484},{"id":"https://openalex.org/keywords/laplace-operator","display_name":"Laplace operator","score":0.3634873628616333},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.35325390100479126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29529041051864624},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23265373706817627},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.1052946150302887},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.08932480216026306},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.0713559091091156}],"concepts":[{"id":"https://openalex.org/C2781220375","wikidata":"https://www.wikidata.org/wiki/Q814208","display_name":"Flocking (texture)","level":2,"score":0.6389074325561523},{"id":"https://openalex.org/C57869625","wikidata":"https://www.wikidata.org/wiki/Q1783502","display_name":"Rate of convergence","level":3,"score":0.6311807632446289},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5047847032546997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49090129137039185},{"id":"https://openalex.org/C115178988","wikidata":"https://www.wikidata.org/wiki/Q772067","display_name":"Laplacian matrix","level":3,"score":0.471456378698349},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.440527081489563},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4232552647590637},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.41332727670669556},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41284847259521484},{"id":"https://openalex.org/C165700671","wikidata":"https://www.wikidata.org/wiki/Q203484","display_name":"Laplace operator","level":2,"score":0.3634873628616333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.35325390100479126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29529041051864624},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23265373706817627},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.1052946150302887},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.08932480216026306},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0713559091091156},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2017.2668458","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2017.2668458","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:28320683","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/28320683","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W391578156","https://openalex.org/W1511036044","https://openalex.org/W1964918537","https://openalex.org/W1976756365","https://openalex.org/W1977813047","https://openalex.org/W1982131419","https://openalex.org/W1989206117","https://openalex.org/W1990810832","https://openalex.org/W1998345701","https://openalex.org/W2019827919","https://openalex.org/W2025291543","https://openalex.org/W2026480734","https://openalex.org/W2029759775","https://openalex.org/W2054819494","https://openalex.org/W2055392001","https://openalex.org/W2078781159","https://openalex.org/W2092215165","https://openalex.org/W2099175737","https://openalex.org/W2100920791","https://openalex.org/W2101176445","https://openalex.org/W2102396643","https://openalex.org/W2111366290","https://openalex.org/W2144354132","https://openalex.org/W2145192525","https://openalex.org/W2150973821","https://openalex.org/W2156123401","https://openalex.org/W2170774893","https://openalex.org/W2316578052","https://openalex.org/W2316895915","https://openalex.org/W2330847414","https://openalex.org/W2344997672","https://openalex.org/W2406068819","https://openalex.org/W2501046130","https://openalex.org/W2963463126","https://openalex.org/W3100484211"],"related_works":["https://openalex.org/W2570009360","https://openalex.org/W2792053972","https://openalex.org/W3004345458","https://openalex.org/W2883186538","https://openalex.org/W2051180862","https://openalex.org/W1976439244","https://openalex.org/W2402951419","https://openalex.org/W2896947499","https://openalex.org/W2362501828","https://openalex.org/W4223455993"],"abstract_inverted_index":{"This":[0,77],"paper":[1,42,78,149],"considers":[2],"the":[3,9,46,74,95,99,104,109,112,117,124,134,137,140,145,157,161,177],"designated":[4,10],"convergence":[5,11,33,113],"rate":[6,114],"(DCR)":[7],"(or":[8],"margin)":[12],"problems":[13,24,97],"of":[14,18,98,111,123,136,139,144,164,180],"consensus":[15],"or":[16,34],"flocking":[17],"coupled":[19],"double-integrator":[20],"agents.":[21],"The":[22,37],"DCR":[23,96,118],"are":[25,56,91,119,130],"more":[26],"valuable":[27],"for":[28,73,116,160],"systems":[29],"design":[30],"than":[31],"just":[32],"stability":[35],"conditions.":[36],"system":[38],"setting":[39],"in":[40,121],"this":[41,148],"is":[43],"general,":[44],"i.e.,":[45,156],"velocity":[47],"coupling":[48,51],"and":[49,61,70,88,107,126],"position":[50],"(VCPC)":[52],"between":[53],"agents,":[54],"respectively,":[55],"set":[57],"to":[58,64,93,133],"be":[59],"general":[60],"nonequal":[62],"(up":[63],"rescaling),":[65],"together":[66],"with":[67],"distinct":[68],"damping":[69,125],"stiffness":[71,127],"gains":[72],"VCPC,":[75],"respectively.":[76],"has":[79,150],"two":[80,141,165],"primary":[81],"contributions":[82],"on":[83,153,176],"consensus:":[84],"1)":[85],"further":[86],"necessary":[87],"sufficient":[89,158],"conditions":[90,159],"established":[92],"guarantee":[94],"system,":[100],"which":[101,129],"have":[102],"enriched":[103],"previous":[105],"results":[106],"2)":[108],"patterns":[110],"contours":[115],"characterized,":[120],"terms":[122],"gains,":[128],"closely":[131],"related":[132],"characteristics":[135],"spectra":[138],"Laplacian":[142,167,182],"matrices":[143],"VCPC.":[146],"Additionally,":[147],"a":[151],"contribution":[152],"matrix":[154],"theory,":[155],"simultaneous":[162],"upper-triangularization":[163],"independent":[166],"matrices,":[168],"particularly":[169],"from":[170],"an":[171],"easily":[172],"verifiable":[173],"topological":[174],"perspective":[175],"corresponding":[178],"digraphs":[179],"these":[181],"matrices.":[183]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}